At what height does the air pressure fall to a given share of sea level’s?

The height in the standard atmosphere where the air pressure is a chosen share of the pressure at sea level.

Height in metres

5480 m

The air pressure is 0.5 of the pressure at sea level at a height of 5480 m (5.48 km).

Height in kilometres: 5.48 km

Try an example

How it is worked out

invert USSA76: for Lb!=0, T = Tb*(share*p0/Pb)^(-R*Lb/(g0*M)), h = hb + (T-Tb)/Lbfor Lb=0, h = hb - (R*Tb/(g0*M))*ln(share*p0/Pb)

Where the numbers come from

U.S. Standard Atmosphere 1976 (NASA TM-X-74335)

Keep in mind

This is a height in the standard atmosphere, an average of the whole year and the whole globe, not in a day’s weather. The air pressure at a given height shifts a little with the weather.

Link to this answer

Address

https://clipwright.studio/tools/height-for-air-pressure?share=0.5

Anyone who opens this address sees the same answer.

Make a film of it

Your coding agent can compute this, scene by scene.

Connect your agent